When fluid flows at high speed over an open cavity, large acousitc pressure is produced by fluid/structure interaction at the downstream edge of the cavity. The goal of this paper is suggestion of effective control method to suppress the noise generated from cavity and numerically simulation of active control. The cavity instability mechanism is simulated and a close-loop control algorithm is implemented. The effects of the actuator and some control function are discussed. The compressible Navier-Stokes equations are solved with the high-order and high-resolution numerical schemes to precisely simulate the interaction between flow and acoustic. The results show that noise is effectively suppressed with the control method suggested in this paper.